Busch-Gudder metric on the Cone of Positive Semidefinite Operators and Its Isometries
In this paper we introduce a new distance measure called Busch-Gudder metric on the cone of all positive semidefinite operators acting on a complex Hilbert space. It is defined as the sup-distance between the so-called strength functions corresponding to positive semi-definite operators. We investig...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2018
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| Sorozat: | INTEGRAL EQUATIONS AND OPERATOR THEORY
90 No. 2 |
| Tárgyszavak: | |
| doi: | 10.1007/s00020-018-2443-9 |
| mtmt: | 3392181 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/37384 |
| Tartalmi kivonat: | In this paper we introduce a new distance measure called Busch-Gudder metric on the cone of all positive semidefinite operators acting on a complex Hilbert space. It is defined as the sup-distance between the so-called strength functions corresponding to positive semi-definite operators. We investigate the properties of that metric, among others its relation to the metric induced by the operator norm. We show that in spite of many dissimilarities between the topological features of those two metrics, their isometry groups still coincide. |
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| Terjedelem/Fizikai jellemzők: | 20 |
| ISSN: | 0378-620X |